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Questions  

A large metallic plate is facing a charged sheet having charge density σ placed parallel to plate at a distance l from the plate. Potential at point P at a distance x from the sheet is

a
σ2ε0(l+x)
b
σ2ε0(l−x)
c
σε0(l−x)
d
σεo(l+x)

detailed solution

Correct option is C

surface charge density of induced charge on the metal plate is σ2ε0 . Therefore resultant E = σ2ε0+σ2ε0=σε0     ∴V=σε0(l−x)

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Two earthed and parallel conducting plates having same area, A = 2.5 m2 are separated by 6 mm.  A third identical plate is introduced into the system parallel with the earlier plates at a distance of 4 mm from one plate as shown in the figure. If this plate is given a charge of 1C,  then calculate the potential of the central plate.


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